GCF of 6240/110, 8944/141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6240/110, 8944/141 i.e 208/15510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6240/110, 8944/141.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6240/110,8944/141?
Given fractions are 6240/110,8944/141
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6240/110,8944/141, numerators are 6240,8944
Denominators are 110,141
The GCF of 6240,8944 is 208 .
LCM of 110,141 is 15510.
The greatest common factor of 6240/110,8944/141 = [GCF of 6240,8944]/[LCM of 110,141]= 208/15510
Therefore, the GCF of 6240/110,8944/141 is 208/15510.
To find the highest common factor of 6240,8944, we have to find the factors of both numbers and list the highest common factor.
The factors of 6240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240
The factors of 8944 are 1, 2, 4, 8, 13, 16, 26, 43, 52, 86, 104, 172, 208, 344, 559, 688, 1118, 2236, 4472, 8944
The HCF of 6240,8944 is 208.
Lets's calculate GCF of 6240,8944
| 2 | 6240, 8944 |
| 2 | 3120, 4472 |
| 2 | 1560, 2236 |
| 2 | 780, 1118 |
| 13 | 390, 559 |
| 30, 43 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 13 = 208
Greatest Common Factor of 6240,8944 By Matching Biggest Common Factor Method
Now, list down the factors of 6240
:1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,32,39,40,48,52,60,65,78,80,96,104,120,130,156,160,195,208,240,260,312,390,416,480,520,624,780,1040,1248,1560,2080,3120,6240
Now, list down the factors of 8944
:1,2,4,8,13,16,26,43,52,86,104,172,208,344,559,688,1118,2236,4472,8944
Greatest Common Factor
We found the factors 6240,8944 . The biggest common factor number is the GCF number.
So the greatest common factor 6240,8944 is 208.
Lets's calculate LCM of 110,141
Given numbers has no common factors except 1. So, there LCM is their product i.e 15510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 208/15510
Therefore, the GCF of Fractions 6240/110,8944/141 is 208/15510
Least Common Multiple of 110,141 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 110,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(110,141) x common factors =1 x 1 = 1
LCM(110,141) = ( 110 × 141 ) / 1
LCM(110,141) = 15510 / 1
LCM(110,141) = 15510
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FAQs on GCF of Fractions of 6240/110, 8944/141
1. What is the HCF of 6240,8944?
The HCF of 6240,8944 is 208
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6240/110, 8944/141?
Answer: GCF of Numerators as per given numbers 6240/110, 8944/141 is
GCF of Numerators i.e. for 6240,8944 is 208
LCM of denominators i.e. for 110,141 is 15510.
Thus, GCF of Fractions is 208/15510.Finally, GCF of Fractions for 6240/110, 8944/141 is 208/15510.